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Finding the Fourth Proportional to 493,301.60, 739,952.40 and 448,978.40

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Solution

The fourth proportional to 493,301.60, 739,952.40 and 448,978.40 is: 673,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,301.60 : 739,952.40 = 448,978.40 : x
  2. Step 2: Convert to fraction form
    493,301.60/739,952.40 = 448,978.40/x
  3. Step 3: Cross multiply
    493,301.60x = 739,952.40 × 448,978.40
  4. Step 4: Simplify right side
    493,301.60x = 332,222,644,628.16
  5. Step 5: Solve for x
    x = 332,222,644,628.16/493,301.60
  6. Step 6: Final answer
    x = 673,467.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.